1561008 has 40 divisors (see below), whose sum is σ = 4272048. Its totient is φ = 489472.

The previous prime is 1561003. The next prime is 1561013. The reversal of 1561008 is 8001651.

It is an interprime number because it is at equal distance from previous prime (1561003) and next prime (1561013).

It is not an unprimeable number, because it can be changed into a prime (1561003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141 + ... + 1772.

2^1561008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1561008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2136024).

1561008 is an abundant number, since it is smaller than the sum of its proper divisors (2711040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1561008 is a wasteful number, since it uses less digits than its factorization.

1561008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 1561008 is about 1249.4030574638. The cubic root of 1561008 is about 116.0027744085.

Adding to 1561008 its reverse (8001651), we get a palindrome (9562659).

The spelling of 1561008 in words is "one million, five hundred sixty-one thousand, eight".